Answer:
The correct answer is:
The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).
Step-by-step explanation:
Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.
To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:
f(x) = x²-2x+1+3-1
The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:
f(x) = (x-1)²+2
This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).
Answer:
It's the first graph :D
Step-by-step explanation: hope it helps ^w^
A 1970 comic book originally sold for $0.35 has appreciate 10% per year. What will it be worth this year? Round to the nearest cent.
Answer:
$41.09 (as of 2020)
Step-by-step explanation:
i took the test
Which on is correct?
Answer:
Congruent
Step-by-step explanation:
Comparing 3 fractions
3/8 4/5 1/2
I don't really need the answer I'd really appreciate an explanation of how to compare 3 fractions with different denominators though, thank you
Can someone help me with this I will give a brainliest for it
Answer:
What do I help you with?
Step-by-step explanation:
Which answer is correct? Please hurry
Answer:
15
Step-by-step explanation:
40 of them are offense players, 5 are special teams which means that 15 are defensive
Answer: 2/3 of 60 = 40
1/12 of 60 = 5
40 + 5 = 45 obviously.
45 + 15 = 60.
Therefore the amount of defensive players would be 15.
what is a good calculator that will give you the points to linear inequality systems?
Answer:
I would just recommend you using M A T H W A Y and paying for the measly little $9.99 for the step-by-step answers.
Step-by-step explanation:
Or desmos would work but I would highly recommend m a t h w a y
if each board in a fence is 6 inches wide, how many boards will josee need to fence 4 sides of a playground that is 60ft wide by 125ft long?
Approximate the value of 5 pie
Answer:
15.71Step-by-step explanation:
5*π = 15.7079633
15.7079633 rounded to the nearest hundredth is 15.71
give me brainliest please
Suppose that the marginal profit function for a certain product is P'(x)=300-0.15x^2, and the profit at a production level of 0 is P(0)=-1200. Find the profit function P(x)
9999999Answer:
Step-by-step explanation:
For the coins
9) Molly bought a magazine for $2 and four
notepads. She spent a total of $10. How
much did each notepad cost?
Solve each inequality.
what's the midpoint of (0,9) and (10,5)
Answer:
[tex](5,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 9)
Point (10, 5)
Step 2: Find midpoint
Substitute: [tex](\frac{0+10}{2},\frac{9+5}{2})[/tex]Add: [tex](\frac{10}{2},\frac{14}{2})[/tex]Divide: [tex](5,7)[/tex]Step-by-step explanation:
Hey there!
Given points are: (0,9) and (10,5)
Then;
Using midpoint formula;
[tex](x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex](x,y) = ( \frac{0 + 10}{2} , \frac{9 + 5}{2} )[/tex]
Simplify it.
[tex](x,y) = (5,7)[/tex]
Therefore, the midpoint is (5,7)
Hope it helps...
double u, then divide 6 by the result
Answer:
wat 12?
Step-by-step explanation:
Answer:
wat 12????????????????????????
Write the equation in slope-intercept form.
It's the second one.
Brainliest please!
Answer:
y=3x
Step-by-step explanation:
surface area of a net
Answer:
Step-by-step explanation:
This is really a sloppy diagram. You have to know if the base of the triangle is 5 or 10.
It is 5. So the area of 1 of the triangles is 1/2 * b * h
b = 5
h = 8.7
Area = 1/2 * 8.7 * 5 = 21.75
There are 4 such triangles. The total area = 4 * 21.75 = 87 sqr in
What is the slope of the line that passes through the points (-9, 2)(−9,2) and (1, 27) ?(1,27)? Write your answer in simplest form. 1
Answer:
pls mark brainliest if possible:
slope is 1.5
Step-by-step explanation:
Slope = rise over run = (y2-y1)/(x2-x1)
choose y2 and corresponding x-coordinate is x2. If we choose 27 as y2, then:
x2 = 1
x1 = -9
y1 = 2
then plug everything into the equation
(27-2)/(1-(-9))
=15/10
= 1.5
slope is 1.5
hope this helps!
Multiple choice: Which of the following angles, when drawn in
standard position, would not be coterminal with an angle that
measures 270°?
(1)-90°
(3) 630°
(2) 990°
(4) 720°
Answer:
Step-by-step explanation:
4
The angle that should be drawn in standard position, would not be coterminal with an angle that measures 270° should be 720 degrees.
What is coterminal?Coterminal angles refer to the angles in standard position where angles should be along with the initial side on the positive x-axis that have a common terminal side.
Therefore, The angle that should be drawn in standard position, would not be coterminal with an angle that measures 270° should be 720 degrees.
Learn more about an angle here: https://brainly.com/question/17688754
A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?
Also, A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?
Answer:
The sequence is an Arthemtic ProgressionAn=A1+(n-1)d
A1 is first term, An is nth term, n is number of term, and d is common difference
therefore
A4=35, A1= -17
A4=A1+(4-1)d
35= -17+3d
35+17=3d
52=3d
52/3=3d/3
14=d
common diffrence(d)=14
The general solution is given byAn= -17+(n-1)14
An= -17+14n-14
An= -31+14n
An= 14n-31
A14 term, means n=14
From An=A1+(n-1)d
A14= -17+(14-1)14
= -17+(13×14)
= -17+182
= 165.
Therfore, the 14th term is 165.
2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?
solution
common ratio(r)=4/5
eighth term(G8)=393216/3125
From Gn= G1r^(n-1)
G8 means n=8
G8=G1r^(n-1)
393216/3125=G1(4/5)^(8-1)
393216/3125=G1(4/5)^7
G1=(393216/3125)/(4/5)^7
G1=600
The first term is given by G1=600
ThereforeThe General equation is given by
The General equation is given by Gn= 600(4/5)^(n-1)
3rd term (G3)
G3= G1(4/5)^(3-1) where n=3,
=600(4/5)^2
=600(16/25)
=384
Therefore, the 3rd term is given by G3= 384.
I have made some Corrections i messed up somewhere.
1.**
What is the slope of the line
y = 5x - 5/2
Answer:
5
Step-by-step explanation:
Slope is number by X
The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z Left YV: 5z + 2 Right XW: (blank) Bottom VW: (blank)
Answer:
[tex]VW = 33[/tex]
Step-by-step explanation:
See attachment for complete question
Given
[tex]VY = 4x - 1[/tex]
[tex]VW = 5x + 3[/tex]
[tex]Perimeter = 112[/tex]
Required
Determine the length of VW
Perimeter is calculated as:
[tex]Perimeter = 2 * (Width + Length)[/tex]
This gives:
[tex]Perimeter = 2 * (VW + VY)[/tex]
Substitute values for VW, VY and Perimeter
[tex]112 = 2 * (4x - 1 + 5x + 3)[/tex]
Collect Like Terms
[tex]112 = 2 * (4x + 5x -1 +3)[/tex]
[tex]112 = 2 * (9x +2)[/tex]
Divide through by 2
[tex]56 = 9x + 2[/tex]
Collect Like Terms
[tex]9x = 56 - 2[/tex]
[tex]9x = 54[/tex]
[tex]x = 54/9[/tex]
[tex]x = 6[/tex]
Substitute 6 for x in [tex]VW = 5x + 3[/tex]
[tex]VW = 5 * 6 + 3[/tex]
[tex]VW = 30 + 3[/tex]
[tex]VW = 33[/tex]
Can you help me with #6??
(Algebra 1 sucks..)
Answer:
37
Step-by-step explanation:
Use the given functions to set up and simplify
ap calc multiple choice question; attached below
please explain how, please!
Answer:
C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average ValueStep-by-step explanation:
Step 1: Define
[tex]f(x)=e^{2x}[/tex]
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
Step 3: Mean Value Theorem
Substitute: [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite: [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]And we have our final answer!
Type SSS, SAS, ASA, AAS, HL to justify why the two larger triangles are congruent.
AD = BC
The required triangle ADB and ABC, are congruent triangles by SAS postulate of congruency.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
Consider triangle ADB and ABC,
AB = AB [common side between the two triangles]
∠A = ∠B [Both angles have an equal measure of 90°]
AD = BC [Given in the question]
So, both triangles are congruent triangles by the SAS postulate of congruency.
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ5
HELP ASAP WILL GIVE BRANILEST Consider the inequality 7 + 4x > x − 2. Select all the values of x that are solutions.
THERE IS MORE THAN ONE ANSWER
Group of answer choices
x = 0
x = 3
x = 6
x = −3
x = −6
Answer:
x=3, x=6, x=-3, x=-6
Step-by-step explanation:
So, every single one except 0.
x > -3
x is greater than -3.
i.e -2, -1, 0, 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
The values of x that are solutions to the given inequality are 0, 3, and 6.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
7 + 4x > x - 2
Solve for x.
7 + 4x > x - 2
Subtract x on both sides.
7 + 4x - x > -2
7 + 3x > -2
Subtract 7 on both sides.
7 + 3x - 7 > -2 - 7
3x > -9
Divide both sides by 3.
x > -3
This means x is greater than -3.
i.e -2, -1, 0 , 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
Thus,
The values of x that are solutions to the given inequality are 0, 3, and 6.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
hello can someone help me find the answer to W in this equation -12 = 9 - 3w
Answer:
w=7
Step-by-step explanation:
-12=9-3w
3w-12=9
3w=21
w=7
-12=9-21=-12
-12=-12
Answer:
X=7
Step-by-step explanation:
-12=9-3w
Subtract nine from both sides
-12=9-3w
-9. -9
-21=-3w
Divide by -3
-21/-3=7
X=7
simplify radical expression with variables. please helping super confused
Answer:
Work shown below!
Step-by-step explanation:
[tex]\sqrt{14*4xy^{10/2}z^{5/2} }=2y^{5}z^{2} \sqrt{14xz}[/tex]
A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5 minutes at twice the rate of the first printer.
How many tickets did the second ticket printer make?
Answer:
500
Step-by-step explanation:
Rate at which first ticket printer works is 450/9 = 50 tickets per minute
Speed of second ticket printer is twice than that of the first.
So, speed of second printer is 100 tickets per minute.
In 5 minutes,second printer made 500 tickets
Which algebraic expression represents the phrase “fourteen increased by a number”?
Answer: 14 + x
Step-by-step explanation:
The number 14 is given. The number being added to 14 is unknown. Thus, we can assign it a variable. I have chosen x. Add x (or any variable representing a number) to 14, for the expression 14 + x.
Simplify the expression:
m - 1/6 - 4m + 5/6
Answer:
-3m+2/3. 2/3 is a fraction
Step-by-step explanation:
Expression
Factorization
Correct?
2x² + 7x+3
Not yet
6x2 + 13x + 6
Not yet
2x² – 3x - 9
Not yet
Answer:
Step-by-step explanation:
(x + 3)(2x + 1)
(2x + 3 )(3x + 2)
(x - 3)(2x + 3)
What do you call the number that you divide by?
Answer:
the number that you divide by is called the dividend and the number which the dividend is being divided by is the divisor.